101101100110100 has 18 divisors (see below), whose sum is σ = 219389387239134. Its totient is φ = 40440440044000.

The previous prime is 101101100110099. The next prime is 101101100110141. The reversal of 101101100110100 is 1011001101101.

It can be written as a sum of positive squares in 3 ways, for example, as 29687547082384 + 71413553027716 = 5448628^2 + 8450654^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 505505500451 + ... + 505505500650.

It is an arithmetic number, because the mean of its divisors is an integer number (12188299291063).

Almost surely, 2^{101101100110100} is an apocalyptic number.

101101100110100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101101100110100 is an abundant number, since it is smaller than the sum of its proper divisors (118288287129034).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101101100110100 is a wasteful number, since it uses less digits than its factorization.

101101100110100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1011011001115 (or 1011011001108 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 101101100110100 its reverse (1011001101101), we get a palindrome (102112101211201).

The spelling of 101101100110100 in words is "one hundred one trillion, one hundred one billion, one hundred million, one hundred ten thousand, one hundred".